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Caesar cipher

Caesar cipher, is one of the simplest and most widely known encryption techniques. The transformation can be represented by aligning two alphabets, the cipher alphabet is the plain alphabet rotated left or right by some number of positions.

When encrypting, a person looks up each letter of the message in the 'plain' line and writes down the corresponding letter in the 'cipher' line. Deciphering is done in reverse.
The encryption can also be represented using modular arithmetic by first transforming the letters into numbers, according to the scheme, A = 0, B = 1,..., Z = 25. Encryption of a letter x by a shift n can be described mathematically as

Plaintext: gabato
cipher variations:
hbcbup icdcvq jdedwr kefexs lfgfyt
mghgzu nhihav oijibw pjkjcx qklkdy
rlmlez smnmfa tnongb uopohc vpqpid
wqrqje xrsrkf ystslg ztutmh auvuni
bvwvoj cwxwpk dxyxql eyzyrm fzazsn

Decryption is performed similarly,

(There are different definitions for the modulo operation. In the above, the result is in the range 0...25. I.e., if x+n or x-n are not in the range 0...25, we have to subtract or add 26.)
Read more ...
Atbash Cipher

Atbash is an ancient encryption system created in the Middle East. It was originally used in the Hebrew language.
The Atbash cipher is a simple substitution cipher that relies on transposing all the letters in the alphabet such that the resulting alphabet is backwards.
The first letter is replaced with the last letter, the second with the second-last, and so on.
An example plaintext to ciphertext using Atbash:
Plain: gabato
Cipher: tzyzgl

Read more ...

 

Baconian Cipher

To encode a message, each letter of the plaintext is replaced by a group of five of the letters 'A' or 'B'. This replacement is done according to the alphabet of the Baconian cipher, shown below.
a   AAAAA   g    AABBA     m    ABABB   s    BAAAB     y    BABBA
b   AAAAB   h    AABBB     n    ABBAA   t    BAABA     z    BABBB
c   AAABA   i    ABAAA     o    ABBAB   u    BAABB 
d   AAABB   j    BBBAA     p    ABBBA   v    BBBAB
e   AABAA   k    ABAAB     q    ABBBB   w    BABAA
f   AABAB   l    ABABA     r    BAAAA   x    BABAB

Plain: gabato
Cipher: AABBA AAAAA AAAAB AAAAA BAABA ABBAB

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Affine Cipher
In the affine cipher the letters of an alphabet of size m are first mapped to the integers in the range 0..m - 1. It then uses modular arithmetic to transform the integer that each plaintext letter corresponds to into another integer that correspond to a ciphertext letter. The encryption function for a single letter is

where modulus m is the size of the alphabet and a and b are the key of the cipher. The value a must be chosen such that a and m are coprime.
Considering the specific case of encrypting messages in English (i.e. m = 26), there are a total of 286 non-trivial affine ciphers, not counting the 26 trivial Caesar ciphers. This number comes from the fact there are 12 numbers that are coprime with 26 that are less than 26 (these are the possible values of a). Each value of a can have 26 different addition shifts (the b value) ; therefore, there are 12*26 or 312 possible keys.
Plaintext: gabato
cipher variations:
hbcbuptbebgrfbgbstrbibevdbkbqxpbmbcznbqbadzbsbmf
lbubyhxbwbkjjbybwlvbabinicdcvqucfchsgchctuscjcfw
eclcryqcncdaocrcbeactcngmcvcziycxclkkczcxmwcbcjo
jdedwrvdgdithdiduvtdkdgxfdmdszrdodebpdsdcfbdudoh
ndwdajzdydmlldadynxdcdkpkefexswehejuiejevwuelehy
genetasepefcqetedgcevepioexebkaezenmmebezoyedelq
lfgfytxfifkvjfkfwxvfmfizhfofubtfqfgdrfufehdfwfqj
pfyfclbfafonnfcfapzfefmrmghgzuygjglwkglgxywgngja
igpgvcugrghesgvgfiegxgrkqgzgdmcgbgpoogdgbqagfgns
nhihavzhkhmxlhmhyzxhohkbjhqhwdvhshifthwhgjfhyhsl
rhahendhchqpphehcrbhghotoijibwailinyminizayipilc
kirixewitijguixihkgizitmsibifoeidirqqifidscihipu
pjkjcxbjmjoznjojabzjqjmdljsjyfxjujkhvjyjilhjajun
tjcjgpfjejsrrjgjetdjijqvqklkdycknkpaokpkbcakrkne
mktkzgykvkliwkzkjmikbkvoukdkhqgkfktsskhkfuekjkrw
rlmlezdlolqbplqlcdblslofnlulahzlwlmjxlalknjlclwp
vlelirhlgluttlilgvflklsxsmnmfaempmrcqmrmdecmtmpg
omvmbiamxmnkymbmlokmdmxqwmfmjsimhmvuumjmhwgmlmty
tnongbfnqnsdrnsnefdnunqhpnwncjbnynolzncnmplnenyr
xngnktjninwvvnknixhnmnuzuopohcgorotesotofgeovori
qoxodkcozopmaodonqmofozsyoholukojoxwwolojyionova
vpqpidhpspuftpupghfpwpsjrpypeldpapqnbpepornpgpat
zpipmvlpkpyxxpmpkzjpopwbwqrqjeiqtqvguqvqhigqxqtk
sqzqfmeqbqrocqfqpsoqhqbuaqjqnwmqlqzyyqnqlakqpqxc
xrsrkfjrurwhvrwrijhryrultrargnfrcrspdrgrqtprircv
brkroxnrmrazzrormblrqrydystslgksvsxiwsxsjkiszsvm
usbshogsdstqeshsruqsjsdwcslspyosnsbaaspsncmsrsze
ztutmhltwtyjxtytkljtatwnvtctiphteturftitsvrtktex
dtmtqzptotcbbtqtodntstafauvunimuxuzkyuzulmkubuxo
wudujqiufuvsgujutwsulufyeunuraqupudccurupeoutubg
bvwvojnvyvalzvavmnlvcvypxvevkrjvgvwthvkvuxtvmvgz
fvovsbrvqveddvsvqfpvuvchcwxwpkowzwbmawbwnomwdwzq
ywfwlskwhwxuiwlwvyuwnwhagwpwtcswrwfeewtwrgqwvwdi
dxyxqlpxaxcnbxcxopnxexarzxgxmtlxixyvjxmxwzvxoxib
hxqxudtxsxgffxuxshrxwxejeyzyrmqybydocydypqoyfybs
ayhynumyjyzwkynyxawypyjciyryveuytyhggyvytisyxyfk
fzazsnrzczepdzezqrpzgzctbzizovnzkzaxlzozybxzqzkd
jzszwfvzuzihhzwzujtzyzglgabatosadafqeafarsqahadu
cajapwoalabymapazcyaralekataxgwavajiiaxavkuazahm

The decryption function is

where a - 1 is the modular multiplicative inverse of a modulo m. I.e., it satisfies the equation

The multiplicative inverse of a only exists if a and m are coprime. Hence without the restriction on a decryption might not be possible. It can be shown as follows that decryption function is the inverse of the encryption function,

Read more ...

 

ROT13 Cipher
Applying ROT13 to a piece of text merely requires examining its alphabetic characters and replacing each one by the letter 13 places further along in the alphabet, wrapping back to the beginning if necessary. A becomes N, B becomes O, and so on up to M, which becomes Z, then the sequence continues at the beginning of the alphabet: N becomes A, O becomes B, and so on to Z, which becomes M. Only those letters which occur in the English alphabet are affected; numbers, symbols, whitespace, and all other characters are left unchanged. Because there are 26 letters in the English alphabet and 26 = 2 * 13, the ROT13 function is its own inverse:

ROT13(ROT13(x)) = x for any basic Latin-alphabet text x


An example plaintext to ciphertext using ROT13:

Plain: gabato
Cipher: tnongb

Read more ...

 

Polybius Square

A Polybius Square is a table that allows someone to translate letters into numbers. To give a small level of encryption, this table can be randomized and shared with the recipient. In order to fit the 26 letters of the alphabet into the 25 spots created by the table, the letters i and j are usually combined.
1 2 3 4 5
1 A B C D E
2 F G H I/J K
3 L M N O P
4 Q R S T U
5 V W X Y Z

Basic Form:
Plain: gabato
Cipher: 221121114443

Extended Methods:
Method #1

Plaintext: gabato
method variations:
mfgfytrlmldywqrqidbvwvoi

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
g a b a t o 
2 1 2 1 4 4 
2 1 1 1 4 3 
They are then read out in rows:
212144211143
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: gabato
Cipher: bbtbao

Read more ...
Method #3

Plaintext: gabato
method variations:
bfaqth faqthb aqthbf
qthbfa thbfaq hbfaqt

Read more ...[RUS] , [EN]

 

Permutation Cipher
In classical cryptography, a permutation cipher is a transposition cipher in which the key is a permutation. To apply a cipher, a random permutation of size E is generated (the larger the value of E the more secure the cipher). The plaintext is then broken into segments of size E and the letters within that segment are permuted according to this key.
In theory, any transposition cipher can be viewed as a permutation cipher where E is equal to the length of the plaintext; this is too cumbersome a generalisation to use in actual practice, however.
The idea behind a permutation cipher is to keep the plaintext characters unchanged, butalter their positions by rearrangement using a permutation
This cipher is defined as:
Let m be a positive integer, and K consist of all permutations of {1,...,m}
For a key (permutation) , define:
The encryption function
The decryption function
A small example, assuming m = 6, and the key is the permutation :

The first row is the value of i, and the second row is the corresponding value of (i)
The inverse permutation, is constructed by interchanging the two rows, andrearranging the columns so that the first row is in increasing order, Therefore, is:

Total variation formula:

e = 2,718281828 , n - plaintext length

Plaintext: gabato

all 720 cipher variations:
gabato gabaot gabtao gabtoa gabota gaboat gaabto gaabot gaatbo gaatob gaaotb
gaaobt gatabo gataob gatbao gatboa gatoba gatoab gaoatb gaoabt gaotab gaotba
gaobta gaobat gbaato gbaaot gbatao gbatoa gbaota gbaoat gbaato gbaaot gbatao
gbatoa gbaota gbaoat gbtaao gbtaoa gbtaao gbtaoa gbtoaa gbtoaa gboata gboaat
gbotaa gbotaa gboata gboaat gabato gabaot gabtao gabtoa gabota gaboat gaabto
gaabot gaatbo gaatob gaaotb gaaobt gatabo gataob gatbao gatboa gatoba gatoab
gaoatb gaoabt gaotab gaotba gaobta gaobat gtbaao gtbaoa gtbaao gtbaoa gtboaa
gtboaa gtabao gtaboa gtaabo gtaaob gtaoab gtaoba gtaabo gtaaob gtabao gtaboa
gtaoba gtaoab gtoaab gtoaba gtoaab gtoaba gtobaa gtobaa gobata gobaat gobtaa
gobtaa gobata gobaat goabta goabat goatba goatab goaatb goaabt gotaba gotaab
gotbaa gotbaa gotaba gotaab goaatb goaabt goatab goatba goabta goabat agbato
agbaot agbtao agbtoa agbota agboat agabto agabot agatbo agatob agaotb agaobt
agtabo agtaob agtbao agtboa agtoba agtoab agoatb agoabt agotab agotba agobta
agobat abgato abgaot abgtao abgtoa abgota abgoat abagto abagot abatgo abatog
abaotg abaogt abtago abtaog abtgao abtgoa abtoga abtoag aboatg aboagt abotag
abotga abogta abogat aabgto aabgot aabtgo aabtog aabotg aabogt aagbto aagbot
aagtbo aagtob aagotb aagobt aatgbo aatgob aatbgo aatbog aatobg aatogb aaogtb
aaogbt aaotgb aaotbg aaobtg aaobgt atbago atbaog atbgao atbgoa atboga atboag
atabgo atabog atagbo atagob ataogb ataobg atgabo atgaob atgbao atgboa atgoba
atgoab atoagb atoabg atogab atogba atobga atobag aobatg aobagt aobtag aobtga
aobgta aobgat aoabtg aoabgt aoatbg aoatgb aoagtb aoagbt aotabg aotagb aotbag
aotbga aotgba aotgab aogatb aogabt aogtab aogtba aogbta aogbat bagato bagaot
bagtao bagtoa bagota bagoat baagto baagot baatgo baatog baaotg baaogt batago
bataog batgao batgoa batoga batoag baoatg baoagt baotag baotga baogta baogat
bgaato bgaaot bgatao bgatoa bgaota bgaoat bgaato bgaaot bgatao bgatoa bgaota
bgaoat bgtaao bgtaoa bgtaao bgtaoa bgtoaa bgtoaa bgoata bgoaat bgotaa bgotaa
bgoata bgoaat bagato bagaot bagtao bagtoa bagota bagoat baagto baagot baatgo
baatog baaotg baaogt batago bataog batgao batgoa batoga batoag baoatg baoagt
baotag baotga baogta baogat btgaao btgaoa btgaao btgaoa btgoaa btgoaa btagao
btagoa btaago btaaog btaoag btaoga btaago btaaog btagao btagoa btaoga btaoag
btoaag btoaga btoaag btoaga btogaa btogaa bogata bogaat bogtaa bogtaa bogata
bogaat boagta boagat boatga boatag boaatg boaagt botaga botaag botgaa botgaa
botaga botaag boaatg boaagt boatag boatga boagta boagat aabgto aabgot aabtgo
aabtog aabotg aabogt aagbto aagbot aagtbo aagtob aagotb aagobt aatgbo aatgob
aatbgo aatbog aatobg aatogb aaogtb aaogbt aaotgb aaotbg aaobtg aaobgt abagto
abagot abatgo abatog abaotg abaogt abgato abgaot abgtao abgtoa abgota abgoat
abtgao abtgoa abtago abtaog abtoag abtoga abogta abogat abotga abotag aboatg
aboagt agbato agbaot agbtao agbtoa agbota agboat agabto agabot agatbo agatob
agaotb agaobt agtabo agtaob agtbao agtboa agtoba agtoab agoatb agoabt agotab
agotba agobta agobat atbgao atbgoa atbago atbaog atboag atboga atgbao atgboa
atgabo atgaob atgoab atgoba atagbo atagob atabgo atabog ataobg ataogb atogab
atogba atoagb atoabg atobag atobga aobgta aobgat aobtga aobtag aobatg aobagt
aogbta aogbat aogtba aogtab aogatb aogabt aotgba aotgab aotbga aotbag aotabg
aotagb aoagtb aoagbt aoatgb aoatbg aoabtg aoabgt tabago tabaog tabgao tabgoa
taboga taboag taabgo taabog taagbo taagob taaogb taaobg tagabo tagaob tagbao
tagboa tagoba tagoab taoagb taoabg taogab taogba taobga taobag tbaago tbaaog
tbagao tbagoa tbaoga tbaoag tbaago tbaaog tbagao tbagoa tbaoga tbaoag tbgaao
tbgaoa tbgaao tbgaoa tbgoaa tbgoaa tboaga tboaag tbogaa tbogaa tboaga tboaag
tabago tabaog tabgao tabgoa taboga taboag taabgo taabog taagbo taagob taaogb
taaobg tagabo tagaob tagbao tagboa tagoba tagoab taoagb taoabg taogab taogba
taobga taobag tgbaao tgbaoa tgbaao tgbaoa tgboaa tgboaa tgabao tgaboa tgaabo
tgaaob tgaoab tgaoba tgaabo tgaaob tgabao tgaboa tgaoba tgaoab tgoaab tgoaba
tgoaab tgoaba tgobaa tgobaa tobaga tobaag tobgaa tobgaa tobaga tobaag toabga
toabag toagba toagab toaagb toaabg togaba togaab togbaa togbaa togaba togaab
toaagb toaabg toagab toagba toabga toabag oabatg oabagt oabtag oabtga oabgta
oabgat oaabtg oaabgt oaatbg oaatgb oaagtb oaagbt oatabg oatagb oatbag oatbga
oatgba oatgab oagatb oagabt oagtab oagtba oagbta oagbat obaatg obaagt obatag
obatga obagta obagat obaatg obaagt obatag obatga obagta obagat obtaag obtaga
obtaag obtaga obtgaa obtgaa obgata obgaat obgtaa obgtaa obgata obgaat oabatg
oabagt oabtag oabtga oabgta oabgat oaabtg oaabgt oaatbg oaatgb oaagtb oaagbt
oatabg oatagb oatbag oatbga oatgba oatgab oagatb oagabt oagtab oagtba oagbta
oagbat otbaag otbaga otbaag otbaga otbgaa otbgaa otabag otabga otaabg otaagb
otagab otagba otaabg otaagb otabag otabga otagba otagab otgaab otgaba otgaab
otgaba otgbaa otgbaa ogbata ogbaat ogbtaa ogbtaa ogbata ogbaat ogabta ogabat
ogatba ogatab ogaatb ogaabt ogtaba ogtaab ogtbaa ogtbaa ogtaba ogtaab ogaatb
ogaabt ogatab ogatba ogabta ogabat

Read more ...[1] , [2] , [3]

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